Question
The time it takes for a ferry to reach a summer resort from the mainland is Normally distributed with mean 2 hours and standard deviation
The time it takes for a ferry to reach a summer resort from the mainland is Normally distributed with mean 2 hours and standard deviation 12 minutes.
A) If 9 trips are randomly selected, what is the probability that between 4 and 7, inclusive, will take between 1 hour 45 minutes and 2 hours 15 minutes?
B)What should be the advertised duration of the trip (in minutes) if the ferry management does not want to be late on more than 5% of the trips but would like to minimize the advertised duration?
C)The company operating the ferry would like to increase its operational efficiency by reducing the standard deviation so that they areon time95% of the time. How much do they have to reduce the standard deviation?
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